5. An Object is undergoing SHM. The graph shows the position of the object as a

Question

5. An Object is undergoing SHM. The graph shows the position of the object as a function of time. What is the first time after t=0 s when the speed reaches a maximum? 6. What is the first time after t=0 s, when the magnitude of the acceleration is maximum? An object is undergong simple harmonic motion The graph shows the position of the object as a function of time What is the first tame after 0 s when the speed reaches a maximum? C6) All Answers Not yet correet,ezses 571 What is the first time aftertOs,when the magnatude of the acceleration is a maximum Answer Submit All Answers vee GorreasEL 171 7. [1pt) What is the maximum acceleration that the object experiences? Answer Subrnt All Answers

Explanation / Answer

A = 6 cm

T = 6 /3 = 2 s

w = 2pi / T = pi rad/s

x = A cos(pi t - phi )

at t = 0 ,

2cm = 6 cm cos(phi) = > phi = 0.39 rad

x = 6 cm cos(pi t - 0.39 )

v = dx/dt = - 6pi cm/s sin(pi t-0.39) = 0

pi t - 0.39 =0

t = 0.124 sec ...........Ans

a = dv/dt = -6 pi^2 cos(pi t - 0.39) = 0

pi t - 0.39 = pi/2
t = 0.624 sec .......Ans

a_max = 6 pi^2 = 59.2 cm/s^2 .......Ans

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